Twistor spinors and solutions of the equation (E) on Riemannian manifolds

Friedrich, Thomas; Pokorná, Olga

Displaying similar documents to “Twistor spinors and solutions of the equation (E) on Riemannian manifolds”

On the conformal relation between twistors and Killing spinors

Friedrich, Thomas

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[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension $n \geq 3$ . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated. ...

Spinor fields on Riemannian manifolds

Pokorná, Olga

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On the nullity index of isometric immersions of Kähler manifolds

M. J. Ferreira, R. Tribuzy (2001)

Rendiconti del Seminario Matematico della Università di Padova

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Skew Killing spinors

Georges Habib, Julien Roth (2012)

Open Mathematics

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We study the existence of a skew Killing spinor on 2- and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.